Divide polynomial by monomial-8x3+6x2÷2x

Q. 297 - Intermediate Algebra

Divide polynomial by monomial-

$(8 x^{3} + 6 x^{2}) \div 2 x$

Verified

Answer

The solution is, $4 x^{2} + 3 x$

1Step 1. Given information

To solve,

$(8 x^{3} + 6 x^{2}) \div 2 x$

2Step 2. Calculation

Solving the equation,

$(8 x^{3} + 6 x^{2}) \div 2 x$

$= \frac{8 x^{3} + 6 x^{2}}{2 x}$

$= \frac{8 x^{3}}{2 x} + \frac{6 x^{2}}{2 x} = 4 x^{2} + 3 x$

The solution is $4 x^{2} + 3 x$